R r M 1 I 4] Exo A sphere with Center O and radius Rus uniformly Charged in volumed with the volume density "I we locate the position of a point M. in space of charge: foro, by its distance r from the center o We 0 the sphere. of the a) Analyze the symmetries and Invariances of the cha Charge distribution and deduce the direction of The fould B (1) created at a pount M located s. the sphere. at the distance r from the center 6) Specify the variables on which the field depends. 0 f Gauss' theorem determine the modulus 6) Usung (CM) at of any pount M. in space. Hence as deduce the potential X(M) at any point M. We will take 2 at infonoty.

(2) The box with M = 40kg shown below is being pulled by two pulleys exerting forces F₁ = 400 N (0₁ = 60°) and F₂ = 200 N (0₂= 15°) up an incline with an angle 0₁ = 30°. If the uk = 0.15. What is the acceleration of the box? Would the F₁ or F₂ be enough alone to pull the box up if the other pulley would stop working?

4. You roll a ball along a table. It rolls at a speed of 2 m/s for 6 seconds. How far did it roll? Show your work.

5. You roll a ball along a table. It rolls for 8 seconds and travels 2 meters. How fast was it rolling? Show your work.